Exeggutor, The Coconut Pokémon. If one of it's heads fall off, it will become an Exeggcute. It's cries are very noisy. This is because each head thinks about what ever it wants. However they never squabble and always get along. If it's head drops off, it telepathically seeks other Exeggcutes to Join. It originally came from the Tropics. Its heads grow larger when exposed to Sunlight.

Battle Moveset

A Good Moveset for Exeggutor would have to be this:

Attacks:

Sunny Day
Solar Beam
Hidden Power Fire
Psychic

Items Attached:

Petaya Berry

Preferred Nature:

Modest

Strategy Using Exeggutor

Before I explain the rest of the moveset: If you do not have the patience to find HP Fire, I suggest you replace it with a different move such as supportive moves, like Reflect. If you don't want HP Fire, then you really don't have much choice with what move you want to replace it.
Hopefully, you may have the chance to baton pass to this pokemon while Sunny Day is already in use. This way, Exeggutor gets the speed boost AND is able to use Solarbeam straight away.
The nature is designed to up Exeggutor's special attack which, of all of its stats, is the best. Psychic and Solarbeam are both useful since they gain a STAB bonus.
The EV's training is intended to give a boost in Special attack and speed, mainly to boost its already impressive Special attack and to boost that below average Speed(although Chlorophyll helps with this problem.)
With its poor special defense, most ice/fire/dark type attacks will defeat this pokemon, and with Ice beam being such a common move, Exeggutor will most likely come up against a pokemon with this move. If you feel you can attack this pokemon first and be able to defeat it with one move, then you should be fine. If you feel otherwise, switch out with a different pokemon.
The Petaya berry will help Exeggutor if its HP is lowered. Overall, this pokemon is one of the better special sweepers available in the game, there are two things that cause this pokemon trouble, its special defense and speed.

EV Corner:

Max out the EVs in HP & Special Defense for Exeggutor with any remaining in Attack

Strategy Against Exeggutor

Exeggutor's Defenses are both strong, but it's Special defenses are weaker so if you attack with Fire & Dark attacks it will be toast (literally if you use Fire)

Contest Moveset

A good Contest Moveset for Exeggutor would have to be this for the Smart Contest best with Calm, Gentle, Careful, Sassy Nature:

Attacks:

Hypnosis
Dream Eater
Psychic
Giga Drain

Items Attached:

Green Scarf

Strategy Using Exeggutor

If you do the attacks in this following order you should have very few problems; 1st - Hypnosis 2nd - Dream eater, 3rd - Psychic, 4th - Giga drain, 5th - Dream eater

Locations in Games

Ruby/Sapphire

Trade From FR/LG

Colosseum

Trade From FR/LG

Fire Red/Leaf Green

Evolve Exeggcute

Animé Appearences

Exeggutor has had several Animé Appearences although most are mere cameos. First, Melvin, A Magician hypnotised Ash into capturing loads of them for him...and when they went on a rampage they had to be started. After that, Ash battled one owned by a trained called Mandy in the Indigo League. After that it was used in the Grass Type Tournement